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Finding the Third Proportional to 60,564.50 and 141,463.75

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Solution

The third proportional to 60,564.50 and 141,463.75 is: 330,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,564.50 : 141,463.75 = 141,463.75 : x
  2. Step 2: Convert to fraction form
    60,564.50/141,463.75 = 141,463.75/x
  3. Step 3: Cross multiply
    60,564.50x = 141,463.75 × 141,463.75
  4. Step 4: Simplify right side
    60,564.50x = 20,011,992,564.06
  5. Step 5: Solve for x
    x = 20,011,992,564.06/60,564.50
  6. Step 6: Final answer
    x = 330,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.